Noncommutative measure and integration
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Noncommutative measure and integration MSC classification 46L51. Because of the progress in the theory of von Neumann algebras and the expansion of its applications from 1966 to 1974 which was stimulated by the Tomita-Takesaki theory and the theory of normal weights, extending the noncommutative integration theory by I. Segal has become urgent to normal weights being noncentral analogs to integrals by unbounded measures on the class of bounded functions.
History
The original paper on noncommutative measure and integration theory in 1951 led to the Plancherel theorem for noncommutative locally compact groups.
References
- I. E. Segal. A non-commutative extension of abstract integration. Ann. of Math. (2), 57:401–457, 1953. MR # 14:991f, JSTOR collection. 2.0(2)
Further reading
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